Convergence of barycentric coordinates to barycentric kernels

DOI10.1016/j.cagd.2016.02.003zbMath1418.65022OpenAlexW2258456823MaRDI QIDQ1632437

Jiří Kosinka, Michael Bartoň

Publication date: 14 December 2018

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10754/596178

zbMATH Keywords

convergencebarycentric coordinatesbarycentric kernel

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

On pseudo-harmonic barycentric coordinates ⋮ Transfinite barycentric interpolation via Dirichlet energy minimization for conical surfaces ⋮ On modified Gordon-Wixom interpolation schemes and their applications to nonlinear and exterior domain problems ⋮ A fast numerical solver for local barycentric coordinates ⋮ On Integral-Based (Transfinite) Laplace Coordinates

Cites Work

• Transfinite mean value interpolation
• Error estimates for generalized barycentric interpolation
• A general geometric construction of coordinates in a convex simplicial polytope
• A unified, integral construction for coordinates over closed curves
• On the injectivity of Wachspress and mean value mappings between convex polygons
• A rational finite element basis
• Convergence of Wachspress coordinates: from polygons to curved domains
• Mean value coordinates
• Barycentric coordinates for convex sets
• A general construction of barycentric coordinates over convex polygons
• Wachspress and Mean Value Coordinates
• Barycentric Interpolation
• Computing Discrete Minimal Surfaces and Their Conjugates
• Generalized Barycentric Coordinates on Irregular Polygons
• Local barycentric coordinates
• Generalized barycentric coordinates and applications

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